Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the measure of the missing angles. 21° c b answer attempt 1 out of…

Question

find the measure of the missing angles. 21° c b answer attempt 1 out of 2 b = ° c = °

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(b\) and the \(21^{\circ}\) angle are vertical angles. So \(b = 21^{\circ}\).

Step2: Use linear - pair property

The \(21^{\circ}\) angle and angle \(c\) form a linear pair. A linear pair of angles sums to \(180^{\circ}\). So \(c=180 - 21\).
\[c = 159^{\circ}\]

Answer:

\(b = 21^{\circ}\)
\(c = 159^{\circ}\)